What is the name of the play that continues the Harry Potter story?

The play that continues the Harry Potter story is Harry Potter and the Cursed Child.

Written by Jack Thorne from a story developed with J.K. Rowling and director John Tiffany, the play begins nineteen years after the events of Harry Potter and the Deathly Hallows. Its central characters are Harry’s son Albus Severus Potter and Draco Malfoy’s son, Scorpius Malfoy, as they begin at Hogwarts and face pressures connected to their parents’ past.

The production premiered in London’s Palace Theatre in 2016 and was originally staged in two parts. The published script followed later that year. Although Fantastic Beasts also belongs to the Wizarding World, it is a prequel series focused mainly on Newt Scamander, not a continuation of Harry’s life. The title is also sometimes confused with Harry Potter and the Forbidden Journey, which is a theme-park attraction rather than a play.